Show commands:
SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 2800j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2800.u1 | 2800j1 | \([0, 1, 0, 7, -157]\) | \(1024/343\) | \(-10976000\) | \([]\) | \(384\) | \(0.030070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2800j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2800j do not have complex multiplication.Modular form 2800.2.a.j
sage: E.q_eigenform(10)